1 // Math extensions -*- C++ -*- 2 3 // Copyright (C) 2013-2024 Free Software Foundation, Inc. 4 // 5 // This file is part of the GNU ISO C++ Library. This library is free 6 // software; you can redistribute it and/or modify it under the 7 // terms of the GNU General Public License as published by the 8 // Free Software Foundation; either version 3, or (at your option) 9 // any later version. 10 11 // This library is distributed in the hope that it will be useful, 12 // but WITHOUT ANY WARRANTY; without even the implied warranty of 13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 14 // GNU General Public License for more details. 15 16 // Under Section 7 of GPL version 3, you are granted additional 17 // permissions described in the GCC Runtime Library Exception, version 18 // 3.1, as published by the Free Software Foundation. 19 20 // You should have received a copy of the GNU General Public License and 21 // a copy of the GCC Runtime Library Exception along with this program; 22 // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see 23 // <http://www.gnu.org/licenses/>. 24 25 /** @file ext/cmath 26 * This file is a GNU extension to the Standard C++ Library. 27 */ 28 29 #ifndef _EXT_CMATH 30 #define _EXT_CMATH 1 31 32 #pragma GCC system_header 33 34 #include <bits/requires_hosted.h> // GNU extensions are currently omitted 35 36 #if __cplusplus < 201103L 37 # include <bits/c++0x_warning.h> 38 #else 39 40 #include <cmath> 41 #include <type_traits> 42 43 namespace __gnu_cxx _GLIBCXX_VISIBILITY(default) 44 { 45 _GLIBCXX_BEGIN_NAMESPACE_VERSION 46 47 // A class for math constants. 48 template<typename _RealType> 49 struct __math_constants 50 { 51 static_assert(std::is_floating_point<_RealType>::value, 52 "template argument not a floating point type"); 53 54 // Constant @f$ \pi @f$. 55 static constexpr _RealType __pi = 3.1415926535897932384626433832795029L; 56 // Constant @f$ \pi / 2 @f$. 57 static constexpr _RealType __pi_half = 1.5707963267948966192313216916397514L; 58 // Constant @f$ \pi / 3 @f$. 59 static constexpr _RealType __pi_third = 1.0471975511965977461542144610931676L; 60 // Constant @f$ \pi / 4 @f$. 61 static constexpr _RealType __pi_quarter = 0.7853981633974483096156608458198757L; 62 // Constant @f$ \sqrt(\pi / 2) @f$. 63 static constexpr _RealType __root_pi_div_2 = 1.2533141373155002512078826424055226L; 64 // Constant @f$ 1 / \pi @f$. 65 static constexpr _RealType __one_div_pi = 0.3183098861837906715377675267450287L; 66 // Constant @f$ 2 / \pi @f$. 67 static constexpr _RealType __two_div_pi = 0.6366197723675813430755350534900574L; 68 // Constant @f$ 2 / \sqrt(\pi) @f$. 69 static constexpr _RealType __two_div_root_pi = 1.1283791670955125738961589031215452L; 70 71 // Constant Euler's number @f$ e @f$. 72 static constexpr _RealType __e = 2.7182818284590452353602874713526625L; 73 // Constant @f$ 1 / e @f$. 74 static constexpr _RealType __one_div_e = 0.36787944117144232159552377016146087L; 75 // Constant @f$ \log_2(e) @f$. 76 static constexpr _RealType __log2_e = 1.4426950408889634073599246810018921L; 77 // Constant @f$ \log_10(e) @f$. 78 static constexpr _RealType __log10_e = 0.4342944819032518276511289189166051L; 79 // Constant @f$ \ln(2) @f$. 80 static constexpr _RealType __ln_2 = 0.6931471805599453094172321214581766L; 81 // Constant @f$ \ln(3) @f$. 82 static constexpr _RealType __ln_3 = 1.0986122886681096913952452369225257L; 83 // Constant @f$ \ln(10) @f$. 84 static constexpr _RealType __ln_10 = 2.3025850929940456840179914546843642L; 85 86 // Constant Euler-Mascheroni @f$ \gamma_E @f$. 87 static constexpr _RealType __gamma_e = 0.5772156649015328606065120900824024L; 88 // Constant Golden Ratio @f$ \phi @f$. 89 static constexpr _RealType __phi = 1.6180339887498948482045868343656381L; 90 91 // Constant @f$ \sqrt(2) @f$. 92 static constexpr _RealType __root_2 = 1.4142135623730950488016887242096981L; 93 // Constant @f$ \sqrt(3) @f$. 94 static constexpr _RealType __root_3 = 1.7320508075688772935274463415058724L; 95 // Constant @f$ \sqrt(5) @f$. 96 static constexpr _RealType __root_5 = 2.2360679774997896964091736687312762L; 97 // Constant @f$ \sqrt(7) @f$. 98 static constexpr _RealType __root_7 = 2.6457513110645905905016157536392604L; 99 // Constant @f$ 1 / \sqrt(2) @f$. 100 static constexpr _RealType __one_div_root_2 = 0.7071067811865475244008443621048490L; 101 }; 102 103 // And the template definitions for the constants. 104 template<typename _RealType> 105 constexpr _RealType __math_constants<_RealType>::__pi; 106 template<typename _RealType> 107 constexpr _RealType __math_constants<_RealType>::__pi_half; 108 template<typename _RealType> 109 constexpr _RealType __math_constants<_RealType>::__pi_third; 110 template<typename _RealType> 111 constexpr _RealType __math_constants<_RealType>::__pi_quarter; 112 template<typename _RealType> 113 constexpr _RealType __math_constants<_RealType>::__root_pi_div_2; 114 template<typename _RealType> 115 constexpr _RealType __math_constants<_RealType>::__one_div_pi; 116 template<typename _RealType> 117 constexpr _RealType __math_constants<_RealType>::__two_div_pi; 118 template<typename _RealType> 119 constexpr _RealType __math_constants<_RealType>::__two_div_root_pi; 120 template<typename _RealType> 121 constexpr _RealType __math_constants<_RealType>::__e; 122 template<typename _RealType> 123 constexpr _RealType __math_constants<_RealType>::__one_div_e; 124 template<typename _RealType> 125 constexpr _RealType __math_constants<_RealType>::__log2_e; 126 template<typename _RealType> 127 constexpr _RealType __math_constants<_RealType>::__log10_e; 128 template<typename _RealType> 129 constexpr _RealType __math_constants<_RealType>::__ln_2; 130 template<typename _RealType> 131 constexpr _RealType __math_constants<_RealType>::__ln_3; 132 template<typename _RealType> 133 constexpr _RealType __math_constants<_RealType>::__ln_10; 134 template<typename _RealType> 135 constexpr _RealType __math_constants<_RealType>::__gamma_e; 136 template<typename _RealType> 137 constexpr _RealType __math_constants<_RealType>::__phi; 138 template<typename _RealType> 139 constexpr _RealType __math_constants<_RealType>::__root_2; 140 template<typename _RealType> 141 constexpr _RealType __math_constants<_RealType>::__root_3; 142 template<typename _RealType> 143 constexpr _RealType __math_constants<_RealType>::__root_5; 144 template<typename _RealType> 145 constexpr _RealType __math_constants<_RealType>::__root_7; 146 template<typename _RealType> 147 constexpr _RealType __math_constants<_RealType>::__one_div_root_2; 148 149 _GLIBCXX_END_NAMESPACE_VERSION 150 } // namespace __gnu_cxx 151 152 #endif // C++11 153 154 #endif // _EXT_CMATH 155
Indexes created Sat Feb 28 05:31:39 UTC 2026